IMO Level 1 Mathematics Olympiad (SOF) Class 10: Questions 105  112 of 968
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Question number: 105
Question
If are two numbers such that . Then are the roots of the quadratic equation ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 106
Question
The difference of roots of the quadratic equation is ________
Choices
Choice (4)  Response  

a.  9  
b.  10  
c.  10  
d.  9 
Question number: 107
Question
Degree of polynomial is ________
Choices
Choice (4)  Response  

a.  6  
b.  1  
c.  3  
d.  4 
Question number: 108
» Pair of Linear Equations in Two Variables
Question
The value of k for which the system of equations has a nonzero solution, is ________
Choices
Choice (4)  Response  

a.  0  
b.  8  
c.  6  
d.  2 
Question number: 109
Question
When is divided by , the quotient and remainder is ________
Choices
Choice (4)  Response  

a.  , 4  
b. 
 
c.  , 4  
d. 

Question number: 110
» Pair of Linear Equations in Two Variables
Question
The value of k for which the system of equations , has infinite number of solutions, is ________
Choices
Choice (4)  Response  

a.  3  
b.  1  
c.  6  
d.  0 
Question number: 111
Question
If one zero of the polynomial is a reciprocal of the other, then p is equal to ________
Choices
Choice (4)  Response  

a.  4  
b.  6  
c.  8  
d.  7 
Question number: 112
» Pair of Linear Equations in Two Variables
Question
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
